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Alge-Tiles an Overview. x x2x2 y y2y2 xy 1 Set 1 Set 2.

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Presentation on theme: "Alge-Tiles an Overview. x x2x2 y y2y2 xy 1 Set 1 Set 2."— Presentation transcript:

1 Alge-Tiles an Overview

2 x x2x2 y y2y2 xy 1 Set 1 Set 2

3 x x2x2 y y2y2 xy 1 – x – x 2 – y –y2–y2 – xy –1 + = 0

4 Adding Integers (+ 5) + (+ 7) = 12 +

5 Adding Integers (– 5) + (– 7) = – 12 +

6 Adding Integers 8 + (– 5) = + 3

7 (– 2) – (– 4) Subtracting Integers + = 2 –

8 (– 4) – (+ 6) Subtracting Integers = – 10 – +

9 Multiplying Integers (2)(3) 6 (2)(–3) –6 (–2)(–3) 6

10 x 2 + 2x + 4 Algebraic Expressions x 2 – 3x – 2 2x 2 – x + 2

11 (4x + 5) + (2x – 3) Adding Polynomials = 6x + 2 +

12 (5x + 2) – (3x – 4) Subtracting Polynomials = 2x + 6 – +

13 3(x + 2) Multiplying Polynomials x Guiding tiles

14 3(x + 2) Multiplying Polynomials 3x + 6

15 x(x – 3) Multiplying Polynomials x – 3 x Guiding tiles

16 x(x – 3) Multiplying Polynomials x 2 – 3x

17 (x + 2)(x + 3) Multiplying Polynomials x + 2 x + 3 Guiding tiles

18 (x + 2)(x + 3) Multiplying Polynomials x 2 + 5x + 6

19 (x – 2)(x + 2) Multiplying Polynomials x – 2 x + 2

20 (x – 2)(x + 2) Multiplying Polynomials

21 (x – 2)(x + 2) Multiplying Polynomials x 2 – 4

22 x 2 + 6x + 8 Factoring Polynomials x + 4 x + 2 x 2 + 6x + 8 = (x + 2)(x + 4) Form a rectangle

23 Solving Equations: solve for x x + 3 = 8 x + 3 – 3 = 8 – 3

24 Solving Equations: solve for x x + 3 = 8 x + 3 – 3 = 8 – 3 x = 5

25 Solving Equations: solve for x 2x – 1 = 5 2x – = 5 + 1

26 Solving Equations: solve for x 2x – 1 = 5 2x – = 5 + 1

27 Solving Equations: solve for x 2x – 1 = 5 2x – = x = 3

28 Solving Equations: solve for x 3x – 1 = x – 5

29 Solving Equations: solve for x 3x – 1 = x – 5

30 Solving Equations: solve for x 3x – 1 = x – 5 x = –2

31 Check 3x – 1 = x – 5 x = –2 Both sides have seven white tiles. Substitute for


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